On 0-cycles with modulus

Amalendu Krishna

On 0-cycles with modulus

Algebraic Geometry 2015-11-17 v2

Authors: Amalendu Krishna

Abstract

Given a smooth surface $X$ over a field and an effective Cartier divisor $D$ , we provide an exact sequence connecting $CH_0(X,D)$ and the relative $K$ -group $K_0(X,D)$ . We use this exact sequence to answer a question of Kerz and Saito whenever $X$ is a resolution of singularities of a normal surface. This exact sequence is used to show that the localization sequence for ordinary Chow groups does not extend to Chow groups with modulus.

Keywords

algebraic cycles and chow groups

Cite

@article{arxiv.1504.03125,
  title  = {On 0-cycles with modulus},
  author = {Amalendu Krishna},
  journal= {arXiv preprint arXiv:1504.03125},
  year   = {2015}
}

Comments

Title changed, with minor revision. Final version, to appear in Algebra Number Theory (2015)

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